{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "executionInfo": {
     "elapsed": 720,
     "status": "ok",
     "timestamp": 1608963065451,
     "user": {
      "displayName": "Евгений Паренченков",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gh7DVvrIdQdBFvJoXN33oycAxQM5tVM2gEysOK-=s64",
      "userId": "07404199301160036105"
     },
     "user_tz": -180
    },
    "id": "y3SLB56eeDuW"
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from google.colab import drive\n",
    "from scipy.optimize import minimize\n",
    "from matplotlib import pyplot as plt\n",
    "import math"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Лабораторная работа 3.6\n",
    "Реализация алгоритма спектрального вычитания (spectral subtraction) для шумоподавления речевых сигналов."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "executionInfo": {
     "elapsed": 1015,
     "status": "ok",
     "timestamp": 1608963065767,
     "user": {
      "displayName": "Евгений Паренченков",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gh7DVvrIdQdBFvJoXN33oycAxQM5tVM2gEysOK-=s64",
      "userId": "07404199301160036105"
     },
     "user_tz": -180
    },
    "id": "QHP6_T2RjQUa"
   },
   "outputs": [],
   "source": [
    "Fs = 100000\n",
    "c = 1125\n",
    "d = [[0, 0, 10],[20, 0, 10],[20, 20, 10],[0, 20, 10]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "executionInfo": {
     "elapsed": 1008,
     "status": "ok",
     "timestamp": 1608963065769,
     "user": {
      "displayName": "Евгений Паренченков",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gh7DVvrIdQdBFvJoXN33oycAxQM5tVM2gEysOK-=s64",
      "userId": "07404199301160036105"
     },
     "user_tz": -180
    },
    "id": "2V8D1fhQeKdA"
   },
   "outputs": [],
   "source": [
    "receiver = open('/Receiver.txt').read().split()\n",
    "transmitter = open('/Transmitter.txt').read().split()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "executionInfo": {
     "elapsed": 1003,
     "status": "ok",
     "timestamp": 1608963065772,
     "user": {
      "displayName": "Евгений Паренченков",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gh7DVvrIdQdBFvJoXN33oycAxQM5tVM2gEysOK-=s64",
      "userId": "07404199301160036105"
     },
     "user_tz": -180
    },
    "id": "jQsEakljgW2l"
   },
   "outputs": [],
   "source": [
    "r_t = [float(c) for c in receiver]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "executionInfo": {
     "elapsed": 996,
     "status": "ok",
     "timestamp": 1608963065774,
     "user": {
      "displayName": "Евгений Паренченков",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gh7DVvrIdQdBFvJoXN33oycAxQM5tVM2gEysOK-=s64",
      "userId": "07404199301160036105"
     },
     "user_tz": -180
    },
    "id": "7FB4ZAVEgbje"
   },
   "outputs": [],
   "source": [
    "s_t = [[] for i in range(4)]\n",
    "for i in range(4):\n",
    "    s_t[i] = [float(c) for c in transmitter[500 * i:500*(i+1)]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 1000
    },
    "executionInfo": {
     "elapsed": 2140,
     "status": "ok",
     "timestamp": 1608963066932,
     "user": {
      "displayName": "Евгений Паренченков",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gh7DVvrIdQdBFvJoXN33oycAxQM5tVM2gEysOK-=s64",
      "userId": "07404199301160036105"
     },
     "user_tz": -180
    },
    "id": "uMRmpBODhi4g",
    "outputId": "4a5088ca-e7d8-4f98-8e79-9d0063c2a523"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light",
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light",
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light",
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light",
      "tags": []
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "corrs = [[] for i in range(4)]\n",
    "for i in range(4):\n",
    "    corrs[i] = np.correlate(r_t, s_t[i], mode=\"valid\")\n",
    "    plt.figure(figsize=(10, 10))\n",
    "    plt.plot(range(len(corrs[i])), corrs[i])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "executionInfo": {
     "elapsed": 2132,
     "status": "ok",
     "timestamp": 1608963066936,
     "user": {
      "displayName": "Евгений Паренченков",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gh7DVvrIdQdBFvJoXN33oycAxQM5tVM2gEysOK-=s64",
      "userId": "07404199301160036105"
     },
     "user_tz": -180
    },
    "id": "ZxOl5WizbOEx",
    "outputId": "180b9c1e-b59d-4c90-dd03-364fd0ed3d2c"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 903, 1203, 1775, 1588])"
      ]
     },
     "execution_count": 32,
     "metadata": {
      "tags": []
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "argmax_corrs = np.array([np.argmax(corrs[i]) for i in range(4)])\n",
    "argmax_corrs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "executionInfo": {
     "elapsed": 2125,
     "status": "ok",
     "timestamp": 1608963066939,
     "user": {
      "displayName": "Евгений Паренченков",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gh7DVvrIdQdBFvJoXN33oycAxQM5tVM2gEysOK-=s64",
      "userId": "07404199301160036105"
     },
     "user_tz": -180
    },
    "id": "FWqdxA9rbwzp"
   },
   "outputs": [],
   "source": [
    "ti_arg = argmax_corrs / Fs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "executionInfo": {
     "elapsed": 2390,
     "status": "ok",
     "timestamp": 1608963067209,
     "user": {
      "displayName": "Евгений Паренченков",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gh7DVvrIdQdBFvJoXN33oycAxQM5tVM2gEysOK-=s64",
      "userId": "07404199301160036105"
     },
     "user_tz": -180
    },
    "id": "I7-Bmk0ibwzr"
   },
   "outputs": [],
   "source": [
    "Ri_arg = ti_arg * c"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "executionInfo": {
     "elapsed": 2388,
     "status": "ok",
     "timestamp": 1608963067212,
     "user": {
      "displayName": "Евгений Паренченков",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gh7DVvrIdQdBFvJoXN33oycAxQM5tVM2gEysOK-=s64",
      "userId": "07404199301160036105"
     },
     "user_tz": -180
    },
    "id": "BFmXiV7Qbwzt"
   },
   "outputs": [],
   "source": [
    "def F_opt_arg(x):\n",
    "    return (math.sqrt(((x[0] - d[0][0])**2 + (x[1] - d[0][1])**2 + (x[2] - d[0][2])**2)) - Ri_arg[0])**2 + \\\n",
    "          (math.sqrt(((x[0] - d[1][0])**2 + (x[1] - d[1][1])**2 + (x[2] - d[1][2])**2)) - Ri_arg[1])**2 + \\\n",
    "          (math.sqrt(((x[0] - d[2][0])**2 + (x[1] - d[2][1])**2 + (x[2] - d[2][2])**2)) - Ri_arg[2])**2 + \\\n",
    "          (math.sqrt(((x[0] - d[3][0])**2 + (x[1] - d[3][1])**2 + (x[2] - d[3][2])**2)) - Ri_arg[3])**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "executionInfo": {
     "elapsed": 2383,
     "status": "ok",
     "timestamp": 1608963067214,
     "user": {
      "displayName": "Евгений Паренченков",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gh7DVvrIdQdBFvJoXN33oycAxQM5tVM2gEysOK-=s64",
      "userId": "07404199301160036105"
     },
     "user_tz": -180
    },
    "id": "dxmvvXdubwzu",
    "outputId": "536938b3-920c-4924-9226-2149713f710a"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "      fun: 3.3975594558445255e-05\n",
       " hess_inv: array([[ 0.25387961, -0.02815919,  0.03622463],\n",
       "       [-0.02815919,  0.28927843, -0.01904686],\n",
       "       [ 0.03622463, -0.01904686,  1.28280369]])\n",
       "      jac: array([-1.35245000e-06, -2.52848895e-06,  1.09215534e-06])\n",
       "  message: 'Optimization terminated successfully.'\n",
       "     nfev: 70\n",
       "      nit: 13\n",
       "     njev: 14\n",
       "   status: 0\n",
       "  success: True\n",
       "        x: array([8.0035784 , 4.60493232, 5.76024983])"
      ]
     },
     "execution_count": 36,
     "metadata": {
      "tags": []
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "minimize(F_opt_arg, [0., 0., 0.])"
   ]
  }
 ],
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   "name": "lab3_6.ipynb",
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   "language": "python",
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